JEE Main 2018Session, Shift 1MathematicsHardIntegral Calculus369× since 2002The value of ∫−π/2π/2sin2x1+2xdx\int\limits_{ - \pi /2}^{\pi /2} {{{{{\sin }^2}x} \over {1 + {2^x}}}} dx−π/2∫π/21+2xsin2xdx isAOption A. π4{\pi \over 4}4πBOption B. π8{\pi \over 8}8πCOption C. π2{\pi \over 2}2πDOption D. 4π{4\pi }4πCheckSkip · show solution